{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## scikit-learn中的PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347, 64)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 19.9 ms, sys: 7.47 ms, total: 27.4 ms\n",
      "Wall time: 64.5 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98666666666666669"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.13 ms, sys: 767 µs, total: 2.9 ms\n",
      "Wall time: 2.93 ms\n"
     ]
    }
   ],
   "source": [
    "%%time \n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.60666666666666669"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 主成分所解释的方差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.14566817,  0.13735469])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 175.77007821,  165.73864334])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  1.45668166e-01,   1.37354688e-01,   1.17777287e-01,\n",
       "         8.49968861e-02,   5.86018996e-02,   5.11542945e-02,\n",
       "         4.26605279e-02,   3.60119663e-02,   3.41105814e-02,\n",
       "         3.05407804e-02,   2.42337671e-02,   2.28700570e-02,\n",
       "         1.80304649e-02,   1.79346003e-02,   1.45798298e-02,\n",
       "         1.42044841e-02,   1.29961033e-02,   1.26617002e-02,\n",
       "         1.01728635e-02,   9.09314698e-03,   8.85220461e-03,\n",
       "         7.73828332e-03,   7.60516219e-03,   7.11864860e-03,\n",
       "         6.85977267e-03,   5.76411920e-03,   5.71688020e-03,\n",
       "         5.08255707e-03,   4.89020776e-03,   4.34888085e-03,\n",
       "         3.72917505e-03,   3.57755036e-03,   3.26989470e-03,\n",
       "         3.14917937e-03,   3.09269839e-03,   2.87619649e-03,\n",
       "         2.50362666e-03,   2.25417403e-03,   2.20030857e-03,\n",
       "         1.98028746e-03,   1.88195578e-03,   1.52769283e-03,\n",
       "         1.42823692e-03,   1.38003340e-03,   1.17572392e-03,\n",
       "         1.07377463e-03,   9.55152460e-04,   9.00017642e-04,\n",
       "         5.79162563e-04,   3.82793717e-04,   2.38328586e-04,\n",
       "         8.40132221e-05,   5.60545588e-05,   5.48538930e-05,\n",
       "         1.08077650e-05,   4.01354717e-06,   1.23186515e-06,\n",
       "         1.05783059e-06,   6.06659094e-07,   5.86686040e-07,\n",
       "         7.44075955e-34,   7.44075955e-34,   7.44075955e-34,\n",
       "         7.15189459e-34])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=X_train.shape[1])\n",
    "pca.fit(X_train)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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r4y9unE9pQbbX5YiInJLC/SwMRKJ87Rc7mTdlEneu0ElUEZm4FO5nYc3vD3CwPcz971mk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\nAXTq7Zsha4I+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113fc6668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([i for i in range(X_train.shape[1])], \n",
    "         [np.sum(pca.explained_variance_ratio_[:i+1]) for i in range(X_train.shape[1])])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.95, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(0.95)\n",
    "pca.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 4.21 ms, sys: 1.28 ms, total: 5.49 ms\n",
      "Wall time: 19.7 ms\n"
     ]
    }
   ],
   "source": [
    "%%time \n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97999999999999998"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用PCA对数据进行降维可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "X_reduction = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kIMnH3vLyedcUAHrOqTITN4lbBiezlcCPR9UojnAg0JrVmeagtK43iZkts2W4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113fc6470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    plt.scatter(X_reduction[y==i,0], X_reduction[y==i,1], alpha=0.8)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
